What steps does Chee take to bring his daughter home?

Chee gets his daughter back by staying true to his Navaho heritage. Unlike Old Man Fat, he still retains his connection to the soil, which is such an important part of tribal custom. Although Old Man Fat's trading post may be doing a roaring trade at the present moment, its success won't last forever, especially after the new highway's been built.
And so it proves. Soon, Old Man Fat and his wife end up down on their luck. Naturally, Chee is concerned for the welfare of his daughter, Little One, who lives with his in-laws. Seeing that they're in such dire straits, Chee offers his father-in-law some of the bountiful harvest that is the fruit of his labors over the summer in return for giving Little One back to him.
Initially, Old Man Fat is furious at Chee's offer and orders him to leave the trading post. However, once he sees all the delicious food that his son-in-law's brought him, he realizes that there's more than enough there to see him and his wife through the winter, but not Little One. So Old Man Fat relents and gives Little One back to her father.